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How do you maintain balance while you walk? Find a straight path in your house or in your yard like a line in your flooring or the sidewalk. If needed, you could also put a long piece of yarn or masking tape on the floor. Stand on the line with one foot in front of the other, and feel your feet rooted to the ground. Try holding your arms out and slowly walking the line without looking down at your feet. Now try walking it more quickly but with continued awareness of your feet on the line.

• What strategies did you use to keep your balance?

• How was walking in this way different from normal walking?

• In what other areas of your life is balance important?

A balance scale is a tool scientists use to measure. Visit this website to practice using a balance scale: https://pbskids.org/sid/games/pan-balance.

Use this experience to think about how much objects weigh. Collect 5-10 objects around your home. Hold two objects, one in each hand. Determine which one is heavier. Continue comparing the objects in pairs and organize them in order from lightest to heaviest. After you have made your prediction, if you have a scale (digital, kitchen scale or a balance), have a family member help you weigh each object and record the weight.

• Was your prediction of lightest to heaviest correct?

• How can balance help us determine the weight of an object?

• When is using a balance not effective for measuring weight?

The relationship between supply and demand works to create an economic balance. Supply refers to the amount of goods available, and demand refers to how badly people want the goods. Think about how supply and demand relate with this activity.

Pretend you see this headline, “Eating Watermelon Improves Your Eyesight.” Think about the impact this headline might have on supply and demand:

• How might this headline impact people’s demand for watermelon?

• If more people start buying watermelon, how will the supply be impacted?

• How does demand impact the cost of goods?

Extension: Create your own headline. Think about the ways it might impact supply and demand. You might think about items related to recent events in your headline, like toilet paper, or disinfectant wipes.

Forming an opinion can be like a balancing act because you must consider the pros (positive things) and cons (negative things) of that issue.

Choose an issue like “Should students have nightly homework?” and consider the pros and cons. Decide where you stand on the issue.

Write a short article using correct punctuation, capitalization, and spelling, that introduces your topic and states the opinion you selected. Provide a reason that includes how you developed your opinion based on a balanced examination of the issue.

How did thinking about both sides of the issue prior to writing help you form an opinion?

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Fill in the empty boxes so the scales balance.

5 + = + 4 + 10 = - 10

50 - 25 = 15 + 12 + 2 + 10 = 6 + 6+

• Which ones can you fill in with more than one answer?

• Can you explain how a math equation is like a scale that is balanced?

Structures must be balanced to support weight. In this exploration, you must build a structure that can hold as many pennies as possible. The place where you put the pennies must be 4 inches above the base of the structure. You may only use 10 sheets of paper, 6 straws, and 1 foot of tape in your design.

Reflection Questions:• How many pennies did your structure hold?• How was balance important in the design?• What was most difficult in the building

process?• What additional materials do you wish you

had been able to use?• How could you change your design to hold

more pennies?

Humans need balance in our foods so we can be healthy and strong. What is a balanced diet? Watch this video and then answer the question, "Why do we need to eat a balanced diet?" https://www.pbs.org/video/d4k-nutrition-video-short-gioayd/

Now that you know WHY we need a balanced diet, it is your turn to create a delicious balanced meal. Watch this video to learn about My Plate and what our plates should look like each meal. https://www.youtube.com/watch?v=Ebm04EO91_U

Now, plan a meal so that your plate is balanced with healthy food.

Challenge: Ask a family member to help you plan and cook a balanced meal. How did you and your family like the meal?

Analogies are comparisons that require examination of the relationships between objects. In order to balance an analogy, you must determine the relationship between the first two items in order to find a similar relationship between the last two items.

Example: Knife is to cut, as ruler is to __? The answer would be “measure” because a knife is used to cut the way a ruler is used to measure. Complete the following analogies:

• Apple is to fruit as broccoli is to __?• Up is to down as on is to __?• Car is to road as boat is to __?• Toe is to foot as finger is to __?• Big is to giant as small is to __?• Bed is to bedroom as stove is to __?

Create your own analogies and have someone in your family solve them.

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Mindfulness can help us to notice and acknowledge unbalanced feelings without judgment and return to a balanced emotional state.

One way to achieve that balance is to "clean house.”

Cleaning house can mean literally cleaning your house (or room), but it can also mean letting go of any things that worry you that are no longer benefiting you or are having a negative impact on your life.

Look around your room, turn on some quiet music, and quietly organize and declutter to achieve a more balanced space. After you finish, focus on the stresses that have been weighing on your heart and mind, and write those down. Then symbolically throw them away and let them go.

An ecosystem’s balance can be affected by how well plants survive and grow in the environment. The "Conscious Challenge" website gives information on how the delicate balance of earth is being upset and what we can do to help.

Visit the website and watch the three short videos (the first focuses on vocabulary): https://www.theconsciouschallenge.org/ecologicalfootprintbibleoverview/extinction-plants

What did you learn about the problems with Hawaii’s ecosystem? How are new plants harming the population of native plants? What are humans doing that harms the ecosystem? What can humans do to help the plants?

Share your findings with your family.

There is an economic term for when there is a balance between supply and demand; it is called equilibrium.

Watch this video about supply and demand: https://youtu.be/N-2mF0rGgUQ As you watch, look for ways that supply and/or demand affects the choices an individual can make.

• How do choices impact balance?• Is balance always a good thing from an

economics standpoint? Why? Why not?• Discuss this with a friend or family member.

Create your own music, dance, or movie video, using a favorite song or movie to demonstrate an understanding of equilibrium and how supply and demand impacts both buyers and sellers.

Choose an informational article or book to read about a topic that interests you. As you read, become a ‘designer’ looking for at least three key points the author uses to support each main idea-similar to the need for at least three legs to help balance a stool and be able to confidently sit on it.

Create an HGTV video in which you explain what you feel is the seat/main idea of the article and how the legs (key details) help to support it or design a stool graphic organizer that explains the same.

Want an extra challenge? Find at least two other informational articles on the same subject and repeat the exercise to see if there are similar main ideas or other viewpoints on the subject. Before you know it, you'll have an authentic "woodshop of ideas" that you've fully analyzed.

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When solving math equations, the value of each side must be the same to be equal, or balanced. Algebra is the part of math where letters or symbols are used to represent unknown numbers. To problem solve, you use the information you have to "balance" both sides of the equation, trying to figure out each unknown number.

This website uses a virtual pan balance to illustrate solving algebra problems: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Pan-Balance----Shapes/

The "weights" used for the balance are geometrical shapes. Use the shapes to make the scale balance. Then, try to figure out what number/weight each shape represents.

Have you ever played Jenga before? Or built with Kapala blocks? It’s a lesson in balance and fun, but did you ever realize that it’s also a lesson in structural engineering?

Read the following article about structural engineering: https://science.howstuffworks.com/engineering/structural/5-things-jenga-teaches-structural-engineering.htm.

After reading, experiment and try to build a structure that capitalizes on the principles of structural engineering discussed in the article. How tall can you make your structure? How strong/solid? How does balance play into your design?

Much like a tightrope walker holds a stick for balance, some animal tails serve the same function. The cheetah, kangaroo, and squirrel, among others, use their tails to maintain balance as they run and jump. Humans can have trouble with balance too. So, researchers in Japan have created a tail for humans to wear! This tail, modeled after the structure of a seahorse tail, is intended to aid a person's balance.

Read more about their research and structures of a seahorse tail at these links: https://bit.ly/2CeoanA https://www.smithsonianmag.com/science-nature/why-seahorses-have-square-tails-180955802/

After studying more about tails and balance, create your own “Tall Tale” (or “Tall Tail”) about a human with a seahorse tail. Remember, a Tall Tale is a fiction story that exaggerates the truth and is meant to be humorous. Share your story with friends and family.

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School, friends, sports, family, chores and more...you’re juggling lots and often things can feel unbalanced. How can you balance care of both your mind and body? Visit the following site regarding self-care for kids and read about the different ways in which you can keep your mind and body healthy: https://kidshelpline.com.au/teens/issues/looking-after-yourself

Choose a couple of options from each focus area (sleep, diet, movement, self-expression and taking a break) to try to put into practice to keep a balance of both mental and physical health. Reflect at the end of the week on how you feel physically, mentally and emotionally. Do you feel more centered and balanced?

Animal extinction, pollution, and climate change are just some of the ways an ecosystem's balance can be affected. On the "Conscious Challenge" website, there is much information about how the delicate balance of earth is being upset and what we can do to help.

Visit the website and read more about extinction at this link: https://www.theconsciouschallenge.org/ecologicalfootprintbibleoverview/extinction-animals

Brainstorm with your family how you can help be a part of balance restoration for our earth. How will you help reduce your carbon footprint? Will you donate to an endangered species fund? What can you do to inform others about the need to make changes in their lifestyles?

Balanced budgets are often a focus in politics and business, but they are important on a personal level, too. As a consumer, it is important to be able to evaluate and balance the costs and benefits of spending, borrowing and saving.

Watch this video: https://vimeo.com/398340269; reflect on the balance between spending, borrowing and saving. Think about your own budget and how you want to balance your income (allowance, jobs, gifts, etc.) and your expenses (fun, food, gifts, etc.) with what you choose to save or share/donate.

Create your own budgeting sheet or choose one of the free budgeting worksheets that can be found here: https://www.moneyprodigy.com/kids-budget-worksheets/ . Set financial goals for yourself in areas you'd like to improve and/or grow.

Choose an informational article or book to read about a topic that interests you. As you read, become an ‘architect’ looking for at least three key points the author uses to support each main idea-similar to the need for at least three legs to help balance a stool and be able to confidently sit on it.

Create a set of stool blueprints in which you detail the main ideas given (seats) and which legs (reasons/evidence) help to support which seats. How many main ideas did your informational text have? Are they balanced and well-stabilized points?

Want an extra challenge? If you find that some main ideas aren't well-stabilized, research to discover additional evidence to help support the main ideas.

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Balance Quest Goal: Fill in the gaps to "balance," or zero out, each side of the puzzle at the link below. One side will equal a negative number and the other side will equal the same positive number.

Rules:• Values in each white box equal the sum of

the adjacent half-height boxes.• Shaded boxes must include ALL numbers

from -8 through 8 (except 0)• Numbers must NOT duplicate among the

white boxes, or among the shaded boxes, but duplicate numbers CAN exist between the white and shaded boxes.

https://www.puzzles-to-print.com/number-puzzles/balance-quest/small-grid-easy.pdf

You have $50, and spend all of it…but where did the extra $1 come from?

Spending only $50, can you create a spending scenario where the “spent” total equals the “balance” total?

Now, create another scenario where the “balance” total is greater than $51. How large can you make the “balance” column while still only spending $50?

Dating back to ancient Greece, funambulists (tightrope walkers) often performed their seemingly superhuman feats of balance as entertainment. This tradition has been passed down through family generations to the present day. Where have you seen tightrope walkers?

There is also evidence of tightrope walking out of necessity for a small village in Russia. What do you imagine the reason is for this need? Research here to learn more: https://uk.reuters.com/article/russia-dagestan/russian-villages-tightrope-walking-prowess-idUKNOA03867920070830

For extra fun, watch a video and train yourself to walk a tightrope! https://allarts.org/programs/circus/circus-circus-diy-how-to-walk-a-tightrope/

Cooking shows on tv talk a lot about balancing flavors and flavor profiles. What do they mean? Explore the following links to learn more about different flavor profiles and how chefs around the world use them: https://www.cooksmarts.com/articles/study-flavor-profiles/

https://youtu.be/TBBuY-sQrR4

Then update one of your favorite dishes or create a completely new dish, balancing the flavor profiles.

You can choose to do this in a couple ways: video your own cooking show episode with you as the host, or design your own menu of balanced flavor dishes with brief descriptions of each.

Take it a step further and cook the actual dish to allow your family and friends to taste the balance of flavors themselves!

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Living a balanced life has a nice sound to it but many students struggle with balancing all their responsibilities and relationships. Try mapping out the important parts of your life to help you decide if you need more balance. Follow the directions at this link, which also has an example for you: https://docs.google.com/document/d/16rEvWd32mb5q4cW1SN8hSQIQ-H-KW8Ak9_TTJdRRjto/edit

What does your pie say about the balance in your life? Is it round and full or does it look like leftovers? If the circle was a tire on a car what would your ride feel like? Would it be smooth or bumpy? What areas of your life do you need to work on to attain balance? List 5-10 goals that will help you enhance the areas of your pie which need to be better.

Any push or pull is a force. Forces that are equal in size but opposite in direction are called balanced forces. Balanced forces do not cause a change in motion. If you push against a wall, neither you nor the wall will move - the force is balanced. Unbalanced forces are not equal and opposite. For example, if a large dog and a small dog are both tugging at the same stick, then the stick is going to move toward the large dog. This is an unbalanced force.

Design a series of activities for a younger student using common items to help them understand the difference in balanced and unbalanced forces. Share your activities using a format of your choice (e.g., activity sheet, video, etc.).

After World War II, the United States and Soviet Union engaged in a state of hostility called the Cold War. Unlike a hot war, with opponents firing at one another, the Cold War was marked by threats, propaganda, and encouraging other countries to join your side. Because each nation had nuclear weapons and knew that the other country also did, there was a balance of power known as mutually assured destruction (MAD). Learn more about the weapons here: https://youtu.be/gVunlJOyfB0 Scholars believe that the U.S. and the Soviet Union came closest to engaging in hot war during the Cuban Missile Crisis. Listen to this TED talk to learn more: https://youtu.be/bwWW3sbk4EU In your journal, analyze the effect of the Cold War and the threat of MAD on life in the U.S. Did MAD bring balance or imbalance to the world? How does this impact us today?

A common sight in U.S. courts is the image of Lady Justice - blindfolded, carrying a balance and a sword, and stepping on a snake and a book. She is the Ancient Roman personification (i.e., giving human traits to something nonhuman) of justice. Read more about Lady Justice’s symbology: https://civicsonlineresourcecommunity.org/meaning-of-lady-justice How does this impact us today?

Consider the idea of Lady Justice. What impact does the personification of justice as a woman have on citizens? Why use a woman instead of a man? State your claim and provide clear reasons and relevant evidence to support it.

Stories with personification: https://www.goodreads.com/shelf/show/personification

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A mathematical equation is like a balance. The two expressions on either side of the equal sign must remain equivalent. When solving an equation it is important to perform the same computation on both sides to maintain equivalency or balance.

Visit: https://solveme.edc.org/Mobiles.html and play with several different mobiles. The mobiles get more challenging as you progress.

After playing around with the mobiles (be careful this can be addictive), write the equation for five of the mobiles and solve them algebraically.

Be sure to try to build your own feature and have a friend or family member try to solve it.

Have you ever played or watched tug of war? If the forces on both sides are balanced, no one moves. If the forces are unbalanced, one team will win. Here is a video that gives some examples of balanced and unbalanced forces: https://youtu.be/L_TXu8ih668

A hovercraft uses air to propel itself across a smooth surface. Create your own hovercraft with a few simple objects. https://youtu.be/tFrnlJr8ueI

Experiment with the type of surface you have your hovercraft glide. Do some surfaces work better than others? How does the balance or unbalance of forces help the vehicle lift and move? Create a new sport which uses a hovercraft to play. Describe your sport. What are the rules? How is the game scored? How did balanced and unbalanced forces apply to your sport? Could you have played your sport on the moon?

Balance in art refers to the sense of distribution of perceived visual weights that offset one another. Both symmetry and asymmetry can be used to create balance.

Read the article at the link to gain a more in-depth understanding of balance in art: https://www.sophia.org/tutorials/design-in-art-balance-and-contrast

Create a piece of art that shows balance using either symmetry or asymmetry.

An evil warden holds you prisoner but offers you a chance to earn your freedom. Your freedom will be decided by your ability to find a counterfeit coin.

Visit the Prison and Coins Logic Puzzle link: https://docs.google.com/document/d/1GB982zBdG1B3B3CNxLM208wdu35jim0yhzqnPxrTkIo/edit?usp=sharing

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Coming across a set of stacked stones, or cairns, in nature reminds us of those who walked the path before us. Visually the stones remind us of the balance needed for a content life. As the linked video illustrates, looking at stacked stones can be quite zen-like: https://youtu.be/bETs6Fbr5dY Stacking stones requires your full attention on the task and in the present to find each stone's center of gravity and its connection to the other stones.

Create your own cairn by using stones found in your yard or other objects around your house. Be sure to take a picture since it may not last long. Some people place a wish on each stone and believe the wish comes true when the stack falls.

Before creating a cairn in a public park, read this U.S. National Parks Services’s article. https://www.nps.gov/articles/rockcairns.htm

You may have heard someone say that you should have a balanced diet, but what exactly does this mean? The United States Department of Agriculture (USDA) has an entire website and app dedicated to helping us to build healthy eating habits one choice at a time. The website even has recipes: https://www.choosemyplate.gov/

The Centers for Disease Control (CDC) also has guidelines as to how we can eat a healthy and well-balanced diet: https://www.cdc.gov/healthyweight/healthy_eating/index.html

Given what you have learned through recipes and guidelines on how to eat a well-balanced diet, compare diets from various regions around the world. How does the quality of health change within these regions? What might cause these differences in overall health?

People travel by car, plane, boat, and train to destinations across our state, nation, and the world. It was not always this simple, though. Read about the history of transportation in North Carolina. How have transportation changes brought a balance of opportunities across the state? The article was written in 2006, so as you read it, think about any changes since that time. https://www.ncpedia.org/transportation/history

Starting with the information from this article as well as other sources (e.g., NCDOT, Amtrak, etc.) create a print or digital resource map (using the link below) of our state showing major transportation pathways (e.g., interstates, ferries, light rail, etc.). How do these resources allow us to move people, goods, and ideas?

http://mapmaker.nationalgeographic.org/#/

Many times in your school career you are going to be asked to conduct research on a topic and then present the results in either a paper, speech, presentation or another format. In informational/ explanatory writing it is important to do so in a fair and balanced way. This is different than in an argumentative piece of writing where you are asserting a particular claim.

Think about a topic that you have seen discussed in the press where two or more viewpoints oppose each other, and then research it. Try to find as many unbiased sources as you can. If you decide to include biased sources in your research, make sure that you review sources from both sides. Create a blog or podcast where you practice presenting the information with an objective tone. Make sure that you develop the topics with well-chosen, relevant, and sufficient details.

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The balance, or final amount, in a bank account depends on how much money is placed in the account (principal), the interest rate, how many times per year the interest is compounded and how long the money stays in the account. For more information about compound interest, watch the Khan Academy video: https://bit.ly/2VVH8G7

You started saving for a car six years ago by putting $5,000 in the bank. Your bank pays an interest rate of 1.25% compounded monthly. What is the balance in the account? What if instead of putting $5,000 in the bank you saved it in a safe place at home and added $200 to it each year? Use a graphing calculator to graph both scenarios. How are the graphs similar? How are they different?

Why do banks call it a balance?

The Broomstick Challenge has made a few rounds on social media. According to a lot of Instagram posts, the ability to stand a broom up on its own happens on certain days due to the gravitational pull. Try to balance a broom vertically. Turns out the ability to balance the broom has less to do with the alignment of planets than the center of gravity of the broom. Watch the video for a great explanation: https://youtu.be/QfATP_arvCg

Another balancing trick uses a 3-foot wooden dowel and playdoh. Use a meter stick or yard stick if you do not have a dowel. Place a lump of modeling clay about the size of your fist eight inches from the end of the dowel. Try balancing the dowel on the end closest to the clay. Flip the dowel and try to balance it on the other end. Why does it balance easier on one end? View this video to learn more about how rotational inertia influences balance: https://youtu.be/lk_Pwu7nf1U

In the modern world, almost everyone is a photographer. The cameras that are embedded in smartphones now take higher quality photos than professional cameras did a decade ago. Have you ever noticed that some people just seem to take really amazing shots?

Read about five kinds of balance in photography to help you improve your photography skills: https://www.nyfa.edu/student-resources/five-kinds-photography-balance-you-need-to-understand/

After reading the article, use a phone or a camera to take several photos utilizing each photo to show off your understanding of at least one of the principles in the article. Compare these photos to ones you have taken previously. Can you see a difference?

You have 12 balls and you know that they all weigh the same, except for 1 which is heavier or lighter than all the others. However, you don't know which ball it is. How can you make sure you know which ball is the heaviest/lightest in only 3 weighings?

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According to Harvard Medical School, yoga reduces heart rate, lowers blood pressure, eases respiration, and even helps with depression and anxiety.

Research yoga and its health benefits. It is an activity you can do rain or shine from the comfort of your own home, for free.

Participate in the yoga session through the video link to focus on mental balance: https://www.youtube.com/watch?v=_Aak5arZOpc

Don’t forget to relax and breathe.

For a chemical equation to follow the Law of Conservation of Mass it must be balanced. An equation is balanced when the number of atoms of elements on the reactants side is equal to that of the products side.

What better way to enjoy balancing chemical equations than with a game? Check it out in the link below: https://phet.colorado.edu/sims/html/balancing-chemical-equations/latest/balancing-chemical-equations_en.html

Write your own balanced chemical equations.

“A lie can travel halfway around the world while the truth is putting on its shoes.” - Mark Twain. Did he actually say that? The way news travels has changed throughout history from a few major newspapers to social media outlets. This brief Ted Ed video explains how our society is becoming inundated with unbalanced information: https://ed.ted.com/lessons/how-false-news-can-spread-noah-tavlin

Create a Ted Talk defending your position on this question: Does the media have a responsibility to publish the truth? Make sure your Ted Talk includes the following considerations:

• How does “fake news” circulate so quickly? • Should writers be responsible for verifying

the accuracy of information?• Should the media be made responsible for

the information they publish?

At some point in your educational career you will probably have to write a discussion essay. For a discussion essay, a balanced view is essential. This makes discussion essays distinct from persuasion essays, for which only one side of the argument is given. In a discussion essay the writer has to clearly present arguments for and against a topic before stating recommendations and opinion.

Write your own discussion essay. Be sure your information is balanced. You could use the topic of social implications:

Social implications of continued social media dependency or any others found on this link: https://ieltsliz.com/discussion-essay-sample-questions/

RESEARCH RESEARCH EXPLORATIONSEXPLORATIONS MATHMATH

LOGIC PUZZLELOGIC PUZZLE FIELD STUDIESFIELD STUDIES

PROJECT COMPLETED IN RESPONSE TO COVID-19 • SUMMER 2020www.dpi.nc.gov/students-families/enhanced-opportunities/advanced-learning-and-gifted-education

Phoenix wants to start saving money to travel across the world. She puts $100.00 into her new savings account. The account earns 9% interest, compounded continuously. She plans to fly in first-class and the tickets are $975.

1. How long will it take for Phoenix to have enough money in her account to buy the tickets?

2. How much will be in the account after 5 years?

Use the formula A=Pe^(rt) where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.

What would the world do without social media? Do you find yourself checking Instagram and TikTok multiple times throughout the day? What about the members in your household? Everything needs a balance, even social media. Spending too much time on social media often causes us to lose sight of what reality truly is. https://www.socialmedia.biz/how-to-balance-social-media-with-real-life/

Spend a week recording the number of times you and 2 other family members checked into your social media accounts. Create a daily log and mark the number of times you sign in. Tally the days and analyze the information.

What would you consider an excessive amount? Is it consuming most of your time? What can you do to find a balance between real life and social media?

What is keeping the Leaning Tower of Pisa from toppling over for the past 800 years? Gravity. The tower does not fall because its center of gravity has been kept within its base. Read about it here: http://www.towerofpisa.org/leaning-tower-of-pisa-facts/.

Watch the TED-Ed video on how it was created and remains standing today: https://youtu.be/HFqf6aKdOC0

Finding a safe spot, stand still with both feet planted firmly together and arms to your sides. Imitate the leaning tower. Did you feel your center of gravity shifting? Now try leaning to the other side. Did your feet move from their spot?Just like the Leaning Tower of Pisa, your center of gravity is maintaining your balance. How do engineers take center of gravity into account when designing structures today?

You are given a set of scales and 12 marbles. The scales are of the old balance variety. That is, a small dish hangs from each end of a rod that is balanced in the middle. The device enables you to conclude either that the contents of the dishes weigh the same or that the dish that falls lower has heavier contents than the other.

The 12 marbles appear to be identical. In fact, 11 of them are identical, and one is of a different weight. Your task is to identify the unusual marble and discard it. You are allowed to use the scales three times if you wish, but no more than three.

Note that the unusual marble may be heavier or lighter than the others. You are asked to both identify it and determine whether it is heavy or light.

PROJECT COMPLETED IN RESPONSE TO COVID-19 • SUMMER 2020dpi.nc.gov/students-families/enhanced-opportunities/advanced-learning-and-gifted-education

BalanceBalanceReference GuideReference Guide

GRADESGRADES

K–12K–12TO ENGAGE, ACTIVATE, AND GROW OUR STUDENTS

ADVANCED LEARNING LABSADVANCED LEARNING LABSCollaboration between NC Department of Public Instruction and AIG Teachers across the state

2-3 Logic Puzzle:Solution: blue = 12; orange = 12

blue ball = 12; blue star = 4

blue = 12; orange = 6

blue = 12; green = 6

https://drive.google.com/file/d/0B624p_IrRSi0QzU3bGpBOWw5S0U/view

4-5 Logic Puzzle:Solution: The "balance" and "spend" columns do not have to match, and in most cases, will not match. They are not always equivalent because you cannot compare them in that way. The amount in the "balance" is what is left over and depending on how much you "spend," equals what is left (the "balance") and therefore, if you only spend $1 at a time, you will always have large numbers left over. Whereas, if you spend all of it at one time, you will have $0 in the "balance."

6-7 Logic Puzzle: Solution: If the coin picked by the warden is real then the scale would display 0 or an even number. If the coin is fake then the scale will display an odd number.

8-9 Logic Puzzle: Solution: If the coin picked by the warden is real then the scale would display 0 or an even number. If the coin is fake then the scale will display an odd number.

10-12:Logic Puzzle Solution: http://www.briddles.com/2011/10/hardest-balance-logic-puzzle.html.

Math Solution: $156.83

Work on more problems with IXL: https://www.ixl.com/math/algebra-2/continuously-compounded-interest-word-problems

PROJECT COMPLETED IN RESPONSE TO COVID-19 • SUMMER 2020dpi.nc.gov/students-families/enhanced-opportunities/advanced-learning-and-gifted-education

BalanceBalance

GRADESGRADES

K–12K–12TO ENGAGE, ACTIVATE, AND GROW OUR STUDENTS

ADVANCED LEARNING LABSADVANCED LEARNING LABSCollaboration between NC Department of Public Instruction and AIG Teachers across the state

NC Standards AlignmentNC Standards Alignment

Grade Span English/Language Arts

Social Studies Science Math

K-1 W.1.1 1.E.1.3

1.E.1.2

1.E.1.3

K.P.2.1 science

K.MD.2 -math

NC.1.OA.4

NC.1.OA.7

NC.1.OA.2

2-3 RI.3.2 3.E.1.2

3.E.1.4

3.L.2.2 Mathematical Practice Standard 2

4-5 RI.5.8 5.E.2.2

5.E.2.1

5.E.2.2

4.L.1.1 Mathematical Practice Standard 2

6-7 W.6.1 7.H.2.1

7.H.1

7.P.1.2 NC.6.EE.7

NC.7.EE.4

8-9 W.9-10.2 8.G.1.1

8.G.1.3

8.L.5.2 NC.M1.A-CED.1

NC.M1.A-CED.2

10-12 W.9-10.2 AH2.H.4 PSc 2.2.4 AFM 2.01